514440543144011 has 64 divisors (see below), whose sum is σ = 581624973619200. Its totient is φ = 451003798108800.

The previous prime is 514440543144001. The next prime is 514440543144013. The reversal of 514440543144011 is 110441345044415.

It is a cyclic number.

It is not a de Polignac number, because 514440543144011 - 2¹⁴ = 514440543127627 is a prime.

It is a super-3 number, since 3×514440543144011³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 514440543144011.

It is not an unprimeable number, because it can be changed into a prime (514440543144013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23024674106 + ... + 23024696448.

It is an arithmetic number, because the mean of its divisors is an integer number (9087890212800).

Almost surely, 2^{514440543144011} is an apocalyptic number.

514440543144011 is a deficient number, since it is larger than the sum of its proper divisors (67184430475189).

514440543144011 is a wasteful number, since it uses less digits than its factorization.

514440543144011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24000.

The product of its (nonzero) digits is 307200, while the sum is 41.

Adding to 514440543144011 its reverse (110441345044415), we get a palindrome (624881888188426).

The spelling of 514440543144011 in words is "five hundred fourteen trillion, four hundred forty billion, five hundred forty-three million, one hundred forty-four thousand, eleven".